OFFSET
0,1
COMMENTS
The values are calculated recursively, based on the characterization by 2009. The number a(5) was found before (2001 and, independently, later works) by exhaustive computer-aided classification of the objects.
REFERENCES
D. S. Krotov, V. N. Potapov, On the reconstruction of N-quasigroups of order 4 and the upper bounds on their numbers, Proc. Conference devoted to the 90th anniversary of Alexei A. Lyapunov (Novosibirsk, Russia, October 8-11, 2001), 2001, http://www.ict.nsc.ru/ws/Lyap2001/2363/
T. Ito, Creation Method of Table, Creation Apparatus, Creation Program and Program Storage Medium, U.S. Patent application 20040243621, Dec 02 2004
B. D. McKay, I. M. Wanless, A census of small latin hypercubes, SIAM J. Discrete Math. 22:2 (2008) 719-736
LINKS
D. S. Krotov, V. N. Potapov, n-Ary Quasigroups of Order 4, SIAM J. Discrete Math. 23:2 (2009), 561-570, arXiv: math/0701519
V. N. Potapov, D. S. Krotov, On the number of n-ary quasigroups of finite order, Discrete Mathematics and Applications, 21:5-6 (2011), 575-586, arXiv: 0912.5453
FORMULA
a(n) = 4*6^n * A211214(n).
PROG
See A211214.
CROSSREFS
KEYWORD
nonn
AUTHOR
Denis S. Krotov and Vladimir N. Potapov, Apr 06 2012
STATUS
approved